What is the Least Common Multiple of 24294 and 24303?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 24294 and 24303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24294 and 24303, than apply into the LCM equation.

GCF(24294,24303) = 3
LCM(24294,24303) = ( 24294 × 24303) / 3
LCM(24294,24303) = 590417082 / 3
LCM(24294,24303) = 196805694

Least Common Multiple (LCM) of 24294 and 24303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24294 and 24303. First we will calculate the prime factors of 24294 and 24303.

Prime Factorization of 24294

Prime Factorization of 24303

Now multiplying the highest exponent prime factors to calculate the LCM of 24294 and 24303.

LCM(24294,24303) = 2¹ × 3¹ × 4049¹ × 8101¹
LCM(24294,24303) = 196805694